Answer :
Given:
The expression is:
[tex]6x^2+3x+21[/tex]
To find:
The factor of the given expression by GCF.
Solution:
We have,
[tex]6x^2+3x+21[/tex]
Here, 3 is the greatest common factor (GCF) of [tex]6x^2,3x,21[/tex].
Taking out GCF, we get
[tex]6x^2+3x+21=3(2x^2+x+7)[/tex]
Therefore, the required factor form of the given expression is [tex]3(2x^2+x+7)[/tex].